9 citations · 56 across the 26 of their papers we have counts for
4 papers · 1 filter
Bounds on the number of generators of prime ideals
Giulio Caviglia, Alessandro De Stefani
Let be a polynomial ring over any field , and let be a non-degenerate homogeneous prime ideal of height . When is algebraically closed, a clas…
The Eisenbud-Green-Harris Conjecture
Giulio Caviglia, Alessandro De Stefani, Enrico Sbarra
We survey most of the known results concerning the Eisenbud-Green-Harris Conjecture. Our presentation includes new proofs of several theorems, as well as a unified treatment of man…
Linearly presented modules and bounds on the Castelnuovo-Mumford regularity of ideals
Giulio Caviglia, Alessandro De Stefani
We estimate the Castelnuovo-Mumford regularity of ideals in a polynomial ring over a field by studying the regularity of certain modules generated in degree zero and with linear re…
A hyperplane restriction theorem and applications to reductions of ideals
Giulio Caviglia
Green's general hyperplane restriction theorem gives a sharp upper bound for the Hilbert function of a standard graded algebra over and infinite field K modulo a general linear for…